曲线纤维增强复合材料圆环板的非轴对称弯曲问题

发布时间：2018-03-19 00:16

本文选题：曲线纤维　切入点：非轴对称弯曲　出处：《工程力学》2016年03期 　论文类型：期刊论文

【摘要】：由自动铺丝机制造的结构具有面内变刚度特征。这种由空间变化引起的刚度变化使结构的控制方程成为了变系数偏微分方程,给求解非轴对称弯曲问题带来了很大挑战,难以求解其精确解。该文基于经典板壳理论,推导了柱坐标下正交各向异性变刚度圆环板非轴对称弯曲问题的控制方程。假定刚度分别随弹性模量指数函数和曲线纤维方向角连续变化,采用加权残值法计算了周边弹性约束时复合材料圆环板的挠度。通过与精确解结果的比对,验证该方法是有效的,并有较高精度。计算结果表明曲线纤维方向角的变化将使曲线纤维增强复合材料结构的相关力学性能明显优于同等比例的直线纤维增强复合材料结构。同时,结果还表明变刚度复合材料圆环板的非轴对称挠度与其周边的约束条件、材料参数、内外半径比值、纤维方向角等密切相关。
[Abstract]:The structure manufactured by automatic wire laying machine has the characteristics of in-plane variable stiffness. This kind of stiffness change caused by spatial change makes the governing equation of the structure become partial differential equation with variable coefficients, which brings a great challenge to solving the non-axisymmetric bending problem. It is difficult to solve the exact solution. This paper is based on the classical theory of plate and shell. The governing equations of non-axisymmetric bending of annular plates with orthotropic variable stiffness in cylindrical coordinates are derived. The stiffness is assumed to vary continuously with the exponential function of elastic modulus and the direction angle of curved fibers, respectively. The deflection of composite annular plate with circumferential elastic constraint is calculated by using the weighted residual method. It is proved that the method is effective by comparing the results with the exact solution. The calculation results show that the change of the direction angle of the curve fiber will make the mechanical properties of the curved fiber reinforced composite structure better than that of the linear fiber reinforced composite structure of the same proportion. The results also show that the non-axisymmetric deflection of the composite ring plate with variable stiffness is closely related to its circumscribed constraints, material parameters, ratio of internal and external radius, fiber direction angle, etc.
【作者单位】：同济大学航空航天与力学学院;
【基金】：国家自然科学基金项目(11072177,11372225)
【分类号】：V214.8

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